GCD of 986, 968, 131, 389 Calculator

Given Input numbers are 986, 968, 131, 389

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 986, 968, 131, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 968, 131, 389 is 1.

Therefore, GCD of numbers 986, 968, 131, 389 is 1

Given Input Data is 986, 968, 131, 389

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 131 is 131

Prime Factorization of 389 is 389

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(986, 968) = 477224

GCD(986, 968) = ( 986 x 968 ) / 477224

GCD(986, 968) = 954448 / 477224

GCD(986, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 131

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

GCD(2, 131) = 262 / 262

GCD(2, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 986, 968, 131, 389 is 1

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1. What is the GCD of 986, 968, 131, 389?

GCD of 986, 968, 131, 389 is 1

2. Where do I get the detailed procedure to find GCD of 986, 968, 131, 389?

You can find a detailed procedure to find GCD of 986, 968, 131, 389 on our page.

3. How to find GCD of 986, 968, 131, 389 on a calculator?

You can find the GCD of 986, 968, 131, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.